We're dividing 510590 by 35 
Our goal is to divide 510590 by 35.

Step 1:
If we divide 5 by 35, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (1) from the dividend to 5 and continue with: 51 / 35

On to step 2:
When dividing 51 by 35, we get 1 with a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 35 from 51 leaves us with 16.
Take the next digit (0) from the dividend and append it to 16, then repeat: 160 / 35

On to step 3:
The number 35 fits into 160 4 times, leaving a remainder of 20.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
If we subtract 140 from 160, we get 20.
Grab the next digit (5) from the dividend, add it to 20, then carry on: 205 / 35

Going ahead to step 4:
If we divide 205 by 35, we get 5 and a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 145.0
Deduct 175 from 205 and we're left with 30.
Fetch the next digit (9) from the dividend, attach it to 30 and continue: 309 / 35

Going ahead to step 5:
35 can be fit into 309 8 times, resulting in a remainder of 29.
Put 8 as the next digit of the answer. 
Result so far: 1458.0
Deduct 280 from 309 and we're left with 29.
Take the next digit (0) from the dividend and append it to 29, then repeat: 290 / 35

Advancing to step 6:
290 divided by 35 is 8 with a remainder of 10.
Record the quotient 8 as the next digit in the result. 
Result so far: 14588.0
Subtracting 280 from 290 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
When dividing 100 by 35, we get 2 with a remainder of 30.
Record the quotient 2 as the next digit in the result. 
Result so far: 14588.2
If we subtract 70 from 100, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 8:
300 divided by 35 is 8 with a remainder of 20.
The number 8 becomes the next digit in our result. 
Result so far: 14588.28
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 9:
35 can be fit into 200 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 14588.285
Deduct 175 from 200 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
35 can be fit into 250 7 times, resulting in a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 14588.2857
The remainder is 5 after subtracting 245 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
35 can be fit into 50 1 times, resulting in a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 14588.28571
Subtracting 35 from 50 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 12:
When dividing 150 by 35, we get 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 14588.285714
If we take 140 away from 150, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
35 can be fit into 100 2 times, resulting in a remainder of 30.
Put 2 as the next digit of the answer. 
Result so far: 14588.2857142
The remainder is 30 after subtracting 70 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 14:
When dividing 300 by 35, we get 8 with a remainder of 20.
Use 8 as the next digit of our solution. 
Result so far: 14588.28571428
If we take 280 away from 300, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 14588.28571428 and a remainder of 2e-08.